if quotient is 4 and 12 is the dividend what is the divisor

HESI A2

HESI A2 Math Practice

1. If the quotient is 4 and the dividend is 12, what is the divisor?

A. 3
B. 6
C. 4
D. 9

Correct answer: C

Rationale: To find the divisor, you need to divide the dividend by the quotient. In this case, the dividend is 12 and the quotient is 4. Dividing 12 by 4 gives you the divisor, which is 3. Therefore, the correct answer is 4. Choices A, B, and D are incorrect because they do not result from dividing the dividend by the quotient in this scenario.

2. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?

A. (2 + 3)^2
B. 5 x 7 + 2
C. 10^2 - 4^2
D. (8 - 1) x 3

Correct answer: C

Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.

3. Report all decimal places: 3.7 + 7.289 + 4 =

A. 14.989
B. 5.226
C. 15.0
D. 5.012

Correct answer: A

Rationale: To find the sum, you add the numbers 3.7, 7.289, and 4 together. 3.7 + 7.289 + 4 equals 14.989. The correct answer is 14.989 because it includes all decimal places from the sum of the numbers provided. Choice B (5.226) is incorrect as it doesn't account for the sum of the given numbers. Choice C (15.0) is incorrect as it rounds the sum to the nearest whole number, losing the decimal precision. Choice D (5.012) is incorrect as it doesn't reflect the correct sum of the decimal numbers.

4. A baker can bake 4 cakes with 10 cups of sugar. If he has a 30-cup bag that is half full, how many cakes can he bake?

A. 6 cakes
B. 5 cakes
C. 7 cakes
D. 8 cakes

Correct answer: A

Rationale: If the 30-cup bag is half full, it contains 15 cups of sugar. Since 10 cups are needed to bake 4 cakes, the baker can bake 4 * (15 / 10) = 6 cakes. Therefore, the correct answer is 6 cakes. Choice B, 5 cakes, is incorrect as it does not consider the correct sugar-to-cake ratio. Choices C and D are incorrect as they do not accurately calculate the number of cakes based on the available sugar.

5. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?

A. 35
B. 50
C. 65
D. 70

Correct answer: B

Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.